The first major legislation of the new Scottish Parliament is an Education Act which has a dramatic impact on the General Teaching Council for Scotland. The Act has implications for the influence of teacher unions over the Council, for the dismissal of teachers who are deemed to be incompetent, and for the continuing professional development of teachers. Relationships between teachers and government are thus fundamentally changed by the new Parliament and its processes.

A "slippery slope argument" is a type of argument in which a first step is taken and a series of inextricable consequences follow, ultimately leading to a disastrous outcome. Many textbooks on informal logic and critical thinking treat the slippery slope argument as a fallacy. Walton argues that used correctly in some cases, they can be a reasonable type of argument to shift a burden of proof in a critical discussion, while in other cases they are used incorrectly. Walton identifies (...) and analyzes four types of slippery slope argument. Walton presents guidelines that show how each type of slippery slope argument can be used correctly or incorrectly, using over fifty case studies of argumentation on controversial issues. These include abortion, medical research on human embryos, euthanasia, the decriminalization of marijuana, pornography, and censorship, and banning of American flag burning. (shrink)

The practice of Ontography deployed by OOO, clarified and expanded in this essay, produces a highly productive framework for analyzing Salvador Dalí’s ontological project between 1928 and 1935. Through the careful analysis of paintings and original texts from this period, we establish the antecedents for Dalí’s theorization of Surrealist objects in Cubism and Italian Metaphysical art, which we collectively refer to as ‘Ontographic art,’ drawing parallels with the tenets of Graham Harman’s and Ian Bogost’s object-oriented philosophical programmes. We respond to (...) the question raised by Roger Rothman concerning Object-Oriented Idealism in Dalí’s work by showing pivotal changes to Dalí’s ontological outlook, from Idealism to Realism, across the aforementioned period, positing the Ontographic intentionality of Dalí’s ontological project in Surrealist art. (shrink)

Extraterrestrial Altruism examines a basic assumption of the Search for Extraterrestrial Intelligence (SETI): that extraterrestrials will be transmitting messages to us for our benefit. This question of whether extraterrestrials will be altruistic has become increasingly important in recent years as SETI scientists have begun contemplating transmissions from Earth to make contact. Technological civilizations that transmit signals for the benefit of others, but with no immediate gain for themselves, certainly seem to be altruistic. But does this make biological sense? Should we (...) expect altruism to evolve throughout the cosmos, or is this only wishful thinking? Is it dangerous to send messages to other worlds, as Stephen Hawking has suggested, or might humankind benefit from an exchange with intelligence elsewhere in the galaxy? Would extraterrestrial societies be based on different ethical principles, or would we see commonalities with Earthly notions of morality? Extraterrestrial Altruism explores these and related questions about the motivations of civilizations beyond Earth, providing new insights that are critical for SETI. Chapters are authored by leading scholars from diverse disciplines—anthropology, astronomy, biology, chemistry, computer science, cosmology, engineering, history of science, law, philosophy, psychology, public policy, and sociology. The book is carefully edited by Douglas Vakoch, Director of Interstellar Message Composition at the SETI Institute and professor of clinical psychology at the California Institute of Integral Studies. The Foreword is by Frank Drake. This interdisciplinary book will benefit everybody trying to understand whether evolution and ethics are unique to Earth, or whether they are built into the fabric of the universe. (shrink)

I revisit my 1993 paper on Putnam and mathematical realism focusing on the indispensability argument and how it has fared over the years. This argument starts from the claim that mathematics is an indispensable part of science and draws the conclusion, from holistic considerations about confirmation, that the ontology of science includes abstract objects as well as the physical entities science deals with.

There are two alternative approaches to accommodating an agent-centered restriction against, say, φ-ing. One approach is to prohibit agents from ever φ-ing. For instance, there could be an absolute prohibition against breaking a promise. The other approach is to require agents both to adopt an end that can be achieved only by their not φ-ing and to give this end priority over that of minimizing overall instances of φ-ing. For instance, each agent could be required both to adopt the end (...) of minimizing their own promise-breakings and to give this end priority over that of minimizing promise-breakings overall. The former is what I’ll call the side-constraint approach, and the latter is what I’ll call the teleological approach. In this chapter, I argue that, when it comes to accommodating restrictions, we should (1) favor the teleological approach over the side-constraint approach, (2) favor an act-consequentialist approach over a non-consequentialist, teleological approach (such as Rossian pluralism), and (3) favor a Kantsequentialist approach over other act-consequentialist approaches, where Kantsequentialism is a version of act-consequentialism that holds that persons are ends-in-themselves who are inherently and unconditionally valuable and are, thus, owed our respect. (shrink)

This groundbreaking volume casts light on the long shadow of naturalistic monism in modern thought and culture. When monism's philosophical proposition - the unity of all matter and thought in a single, universal substance - fused with scientific empiricism and Darwinism in the mid-nineteenth century, it led to the formation of a powerful worldview articulated in the work of figures such as Ernst Haeckel. The compelling essays collected here, written by leading international scholars, investigate the articulation of monism in science, (...) philosophy, and religion and its impact on a range of social movements, from socialism and early feminism to imperialism and eugenics. The result is a broad and comprehensive chronological, disciplinary, and geographic map of a century of monism, as well as a bellwether for innovative new directions in the interdisciplinary study of science, religion, philosophy, and culture. (shrink)

This book identifies 25 argumentation schemes for presumptive reasoning and matches a set of critical questions to each.

Fragmented thinking, broken world -- Toward recovery of wholeness: the radical humanities and traditional wisdom -- Toward recovery of wholeness: another look at science -- Insight-imagination -- Living thinking, living world: toward an education of insight-imagination.

This paper situates the original choreography of Sacre as a basis for an ongoing exploration of non-Western themes in modern dance, a persistent fascination with the Orientalist ‘Other,’ before exploring the versions choreographed by Wigman, Bausch and Graham in chronological order of their first performances. In analysing different interpretations of the same score, two themes become apparent: first, that this piece heralded the birth of Modernism in classical dance performance, and second, that the driving anti-classical, anti-traditional rhythms that characterise the (...) piece communicate an enduring interest in primitive aesthetics. Accordingly, this discussion takes Nijinsky’s Sacre as a starting point in re-evaluating the influence of primitivism and Otherness on contemporary dance, and represents an early indication of the significance of the Saidian, non-Western ‘Other’ in shaping the evolution of avant-garde dance. (shrink)

Fundamentals of Critical Argumentation presents the basic tools for the identification, analysis, and evaluation of common arguments for beginners. The book teaches by using examples of arguments in dialogues, both in the text itself and in the exercises. Examples of controversial legal, political, and ethical arguments are analyzed. Illustrating the most common kinds of arguments, the book also explains how to evaluate each kind by critical questioning. Douglas Walton shows how arguments can be reasonable under the right dialogue conditions (...) by using critical questions to evaluate them. The book teaches by example, both in the text itself and in exercises, but it is based on methods that have been developed through the author's thirty years of research in argumentation studies. (shrink)

Is the flavor of mint reducible to the minty smell, the taste, and the menthol-like coolness on the roof of one’s mouth, or does it include something over and above these—something not properly associated with any one of the contributing senses? More generally, are there features of perceptual experiences—so-called novel features—that are not associated with any of our senses taken singly? This question has received a lot of attention of late. Yet surprisingly little attention has been paid to the question (...) of what it means to say that a feature is associated with a sensory modality in the first place. Indeed, there is only one fully developed proposal in the literature, due to Casey O’Callaghan. I argue that this proposal is too permissive to inform the debate over novel features. I go on to argue that all attempts to formulate a better proposal along these lines fail. The corollary of my arguments is that the question of the existence of novel features is poorly formed. Furthermore, the problem generalizes, with the result that we should not rely on our pre-theoretical notions of the senses as the basis of theorizing about the features of perceptual experiences. (shrink)

It seems that we can be directly accountable for our reasons-responsive attitudes—e.g., our beliefs, desires, and intentions. Yet, we rarely, if ever, have volitional control over such attitudes, volitional control being the sort of control that we exert over our intentional actions. This presents a trilemma: (Horn 1) deny that we can be directly accountable for our reasons-responsive attitudes, (Horn 2) deny that φ’s being under our control is necessary for our being directly accountable for φ-ing, or (Horn 3) deny (...) that the relevant sort of control is volitional control. This paper argues that we should take Horn 3. (shrink)

In this paper, I take it for granted both that there are two types of blameworthiness—accountability blameworthiness and attributability blameworthiness—and that avoidability is necessary only for the former. My task, then, is to explain why avoidability is necessary for accountability blameworthiness but not for attributability blameworthiness. I argue that what explains this is both the fact that these two types of blameworthiness make different sorts of reactive attitudes fitting and that only one of these two types of attitudes requires having (...) been able to refrain from φ-ing in order for them to be fitting. (shrink)

Blame is multifarious. It can be passionate or dispassionate. It can be expressed or kept private. We blame both the living and the dead. And we blame ourselves as well as others. What’s more, we blame ourselves, not only for our moral failings, but also for our non-moral failings: for our aesthetic bad taste, gustatory self-indulgence, or poor athletic performance. And we blame ourselves both for things over which we exerted agential control (e.g., our voluntary acts) and for things over (...) which we lacked such control (e.g., our desires, beliefs, and intentions). I argue that, despite this manifest diversity in our blaming practices, it’s possible to provide comprehensive account of blame. Indeed, I propose a set of necessary and sufficient conditions that aims to specify blame’s extension in terms of its constitution as opposed to its function. And I argue that this proposal has a number of advantages beyond accounting for blame in all its disparate forms. For one, it can account for the fact that one’s having had control over whether one was to φ is a necessary condition for one’s being fittingly blamed for having φ-ed. For another, it can account for why, unlike fitting shame, fitting blame is always deserved, which in turn explains why there is something morally problematic about ridding oneself of one’s fitting self-blame (e.g., one’s fitting guilt). (shrink)

Second edition of the introductory guidebook to the basic principles of constructing sound arguments and criticising bad ones. Non-technical in approach, it is based on 186 examples, which Douglas Walton, a leading authority in the field of informal logic, discusses and evaluates in clear, illustrative detail. Walton explains how errors, fallacies, and other key failures of argument occur. He shows how correct uses of argument are based on sound strategies for reasoned persuasion and critical responses. This edition takes into (...) account many developments in the field of argumentation study that have occurred since 1989, many created by the author. Drawing on these developments, Walton includes and analyzes 36 new topical examples and also brings in work on argumentation schemes. Ideally suited for use in courses in informal logic and introduction to philosophy, this book will also be valuable to students of pragmatics, rhetoric, and speech communication. (shrink)

Cet article se propose de démontrer que la frise du théâtre de Delphes illustrant les Travaux d'Héraklès doit être datée du Ier siècle ap. J.-C. tant à cause de son iconographie que de l'histoire du monument. Il est en effet très probable qu'elle fut sculptée juste avant la visite de Néron à Delphes, en 67 ap. J.-C, dans un effort délibéré pour flatter l'empereur.

Introduction -- Context -- Overview of themes -- Reading the text -- Reception and influence.

Argumentation, which can be abstractly defined as the interaction of different arguments for and against some conclusion, is an important skill to learn for everyday life, law, science, politics and business. The best way to learn it is to try it out on real instances of arguments found in everyday conversational exchanges and legal argumentation. The introductory chapter of this book gives a clear general idea of what the methods of argumentation are and how they work as tools that can (...) be used to analyze arguments. Each subsequent chapter then applies these methods to a leading problem of argumentation. Today the field of computing has embraced argumentation as a paradigm for research in artificial intelligence and multi-agent systems. Another purpose of this book is to present and refine tools and techniques from computing as components of the methods that can be handily used by scholars in other fields. (shrink)

BackgroundMedical ethics has recently seen a drive away from multiple prescriptive approaches, where physicians are inundated with guidelines and principles, towards alternative, less deontological perspectives. This represents a clear call for theory building that does not produce more guidelines. Phronesis (practical wisdom) offers an alternative approach for ethical decision-making based on an application of accumulated wisdom gained through previous practice dilemmas and decisions experienced by practitioners. Phronesis, as an ‘executive virtue’, offers a way to navigate the practice virtues for any (...) given case to reach a final decision on the way forward. However, very limited empirical data exist to support the theory of phronesis-based medical decision-making, and what does exist tends to focus on individual practitioners rather than practice-based communities of physicians.MethodsThe primary research question was: What does it mean to medical practitioners to make ethically wise decisions for patients and their communities? A three-year ethnographic study explored the practical wisdom of doctors (n = 131) and used their narratives to develop theoretical understanding of the concepts of ethical decision-making. Data collection included narrative interviews and observations with hospital doctors and General Practitioners at all stages in career progression. The analysis draws on neo-Aristotelian, MacIntyrean concepts of practice- based virtue ethics and was supported by an arts-based film production process.ResultsWe found that individually doctors conveyed many different practice virtues and those were consolidated into fifteen virtue continua that convey the participants’ ‘collective practical wisdom’, including the phronesis virtue. This study advances the existing theory and practice on phronesis as a decision-making approach due to the availability of these continua.ConclusionGiven the arguments that doctors feel professionally and personally vulnerable in the context of ethical decision-making, the continua in the form of a video series and app based moral debating resource can support before, during and after decision-making reflection. The potential implications are that these theoretical findings can be used by educators and practitioners as a non-prescriptive alternative to improve ethical decision-making, thereby addressing the call in the literature, and benefit patients and their communities, as well. (shrink)

Media argumentation is a powerful force in our lives. From political speeches to television commercials to war propaganda, it can effectively mobilize political action, influence the public, and market products. This book presents a new and systematic way of thinking about the influence of mass media in our lives, showing the intersection of media sources with argumentation theory, informal logic, computational theory, and theories of persuasion. Using a variety of case studies that represent arguments that typically occur in the mass (...) media, Douglas Walton demonstrates how tools recently developed in argumentation theory can be usefully applied to the identification, analysis, and evaluation of media arguments. He draws upon the most recent developments in artificial intelligence, including dialogical theories of argument, which he developed, as well as speech act theory. Each chapter presents solutions to problems central to understanding, analyzing, and criticizing media argumentation. (shrink)

Vol. presents a method for critically evaluating relevance in arguments based on case studies & a new relevance theory incorporating techniques of argumentation theory, logic & artificiaI intelligence. For scholars/students in argumentation & rhetoric.

Media argumentation is a powerful force in our lives. From political speeches to television commercials to war propaganda, it can effectively mobilize political action, influence the public, and market products. This book presents a new and systematic way of thinking about the influence of mass media in our lives, showing the intersection of media sources with argumentation theory, informal logic, computational theory, and theories of persuasion. Using a variety of case studies that represent arguments that typically occur in the mass (...) media, Douglas Walton demonstrates how tools recently developed in argumentation theory can be usefully applied to the identification, analysis, and evaluation of media arguments. (shrink)

Recent work in artificial intelligence has increasingly turned to argumentation as a rich, interdisciplinary area of research that can provide new methods related to evidence and reasoning in the area of law. Douglas Walton provides an introduction to basic concepts, tools and methods in argumentation theory and artificial intelligence as applied to the analysis and evaluation of witness testimony. He shows how witness testimony is by its nature inherently fallible and sometimes subject to disastrous failures. At the same time (...) such testimony can provide evidence that is not only necessary but inherently reasonable for logically guiding legal experts to accept or reject a claim. Walton shows how to overcome the traditional disdain for witness testimony as a type of evidence shown by logical positivists, and the views of trial sceptics who doubt that trial rules deal with witness testimony in a way that yields a rational decision-making process. (shrink)

This reader-friendly book examines philosophies and philosophers using an engaging, non-condescending approach that speaks to you at your level.

Perhaps the two main contemporary formulations of ethical naturalism – Synthetic Ethical Naturalism (SEN) and Analytical Descriptivism – seem to conflict with plausible views about cases where moral debate and disagreement is possible. Both lack safeguards to avoid divergence of reference across different communities, which can scupper the prospects for genuine moral disagreement. I explore the prospects for supplementing both views with Lewis's notion of eligibility, arguing that this can solve the problem for a modified form of analytical descriptivism, and (...) for a modified form of SEN too (though perhaps more controversially). I close by considering the appropriateness of using the notions of eligibility and joint-carving in ethics. (shrink)

The finding that women are attracted to men older than themselves whereas men are attracted to relatively younger women has been explained by social psychologists in terms of economic exchange rooted in traditional sex-role norms. An alternative evolutionary model suggests that males and females follow different reproductive strategies, and predicts a more complex relationship between gender and age preferences. In particular, males' preferences for relatively younger females should be minimal during early mating years, but should become more pronounced as the (...) male gets older. Young females are expected to prefer somewhat older males during their early years and to change less as they age. We briefly review relevant theory and present results of six studies testing this prediction. Study 1 finds support for this gender-differentiated prediction in age preferences expressed in personal advertisements. Study 2 supports the prediction with marriage statistics from two U.S. cities. Study 3 examines the cross-generational robustness of the phenomenon, and finds the same pattern in marriage statistics from 1923. Study 4 replicates Study 1 using matrimonial advertisements from two European countries, and from India. Study 5 finds a consistent pattern in marriages recorded from 1913 through 1939 on a small island in the Philippines. Study 6 reveals the same pattern in singles advertisements placed by financially successful American women and men. We consider the limitations of previous normative and evolutionary explanations of age preferences and discuss the advantages of expanding previous models to include the life history perspective. (shrink)

We examine George Boolos's proposed abstraction principle for extensions based on the limitation-of-size conception, New V, from several perspectives. Crispin Wright once suggested that New V could serve as part of a neo-logicist development of real analysis. We show that it fails both of the conservativeness criteria for abstraction principles that Wright proposes. Thus, we support Boolos against Wright. We also show that, when combined with the axioms for Boolos's iterative notion of set, New V yields a system equivalent to (...) full Zermelo-Fraenkel set theory with a principle of global choice. This advances Boolos's longstanding interest in the foundations of set theory. (shrink)

We know we have thoughts, but are we aware that we have styles of thought? This book, written by one of the most gifted and celebrated social thinkers of our time, is a contribution to understanding the rules of the different styles of thinking. Author Mary Douglas takes us through a range of thought styles from the vulgar to the refined. Throughout this fascinating journey, Thought Styles shows us how the different styles work and how outsiders can learn the (...) styles of insiders. The discussion ranges from the style of folklore to the styles of therapy, shopping, religion, and animal rights. The result is a book full of insight. Readers will find themselves thinking in new ways about the mechanics of communication in everyday life. Professionals and researchers in sociology, communication, and anthropology will especially appreciate this auspicious new book. (shrink)

IN THIS PAPER, I make a presumptive case for moral rationalism: the view that agents can be morally required to do only what they have decisive reason to do, all things considered. And I argue that this view leads us to reject all traditional versions of act‐consequentialism. I begin by explaining how moral rationalism leads us to reject utilitarianism.

As Socrates famously noted, there is no more important question than how we ought to live. The answer to this question depends on how the reasons that we have for living in various different ways combine and compete. To illustrate, suppose that I've just received a substantial raise. What should I do with the extra money? I have most moral reason to donate it to effective charities but most self-interested reason to spend it on luxuries for myself. So, whether I (...) should live my life as I have most moral reason to live it or as I have most self-interested reason to live it depends on how these and other sorts of reasons combine and compete to determine what I have most reason to do, all things considered. This Element seeks to figure out how different sorts of reasons combine and compete to determine how we ought to live. (shrink)

Some right acts have what philosophers call moral worth. A right act has moral worth if and only if its agent deserves credit for having acted rightly in this instance. And I argue that an agent deserves credit for having acted rightly if and only if her act issues from an appropriate set of concerns, where the appropriateness of these concerns is a function what her ultimate moral concerns should be. Two important upshots of the resulting account of moral worth (...) are that (1) an act can have moral worth even if it doesn’t manifest a concern for doing what’s right and that (2) an act can lack moral worth even if it is performed for the right reasons. (shrink)

Governments are increasingly using randomized controlled trials (RCTs) to evaluate policy interventions. RCTs are often understood to provide the highest quality evidence regarding the causal efficacy of an intervention. While randomization plays an essential epistemic role in the context of policy RCTs however, it also plays an important distributive role. By randomly assigning participants to either the intervention or control arm of an RCT, people are subject to different policies and so, often, to different types and levels of benefits. In (...) this paper, I identify one necessary condition as well as a set of sufficient conditions for the permissible use of random assignment by government agencies. I argue first that random assignment is permissible only if it is consistent with governments’ duty to realize morally important outcomes. I argue second that random assignment is permissible in cases where investigators are in a state of genuine equipoise regarding all arms of the experiment and the policy to which people have a claim of justice. Finally, I defend a set of conditions under which random assignment is permissible in cases where one or more arms of a policy RCT are reasonably expected to be either superior or inferior to this policy. (shrink)

Esta pesquisa analisa alguns tópicos sobre a metodologia de acordo com a filosofia da ciência de Larry Laudan, além de examinar, na área da educação, esta proposta de interpretação filosófica. Trouxemos como elementos algumas considerações e definições sobre a metodologia em Laudan, isto é, da metodologia como um instrumento para a realização da axiologia (que são as metas e os valores cognitivos), porém, apresentando também interessantes relações para com as teorias específicas, como o de justificar as teorias específicas e de (...) ser restringida por elas. A metodologia é também, dentro do modelo reticulado de Laudan, justificada pela axiologia. Para além desta análise, há também uma defesa da metodologia enquanto o estudo dela própria, o que permite encontrarmos conexões interessantes em teorias da educação, como no caso da investigação-ação, onde vemos que estamos diante de uma tradição de pesquisa nos moldes defendidos pela filosofia da ciência de Laudan, por reconhecermos que temos um modelo reticular composto por teorias específicas, metodologias e axiologia também na área da educação. Veremos também que a metodologia em Laudan possui um caráter dinâmico, tensionando e sendo tensionada pelos componentes da tradição de pesquisa, caracterizando o modelo reticulado de racionalidade proposto pelo filósofo. Este debate em Laudan, juntamente com a tradição de pesquisa da investigação-ação da área da educação serão investigados neste artigo. Como base para a construção deste texto, utilizamos as seguintes obras de Laudan: The Progress and its problems: towards a theory of scientific growth (1977), Science and Values (1984a), Explaining the success of science: beyond epistemic realism and relativism (1984b), Methodology’s prospects (1986), Progress or Rationality? The Prospects for Normative Naturalism (1987a), Aim-less Epistemology? (1990a) e Normative Naturalism (1990b). (shrink)

Introduction; Aidos in Homer; From Hesiod to the Fifth Century; Aeschylus; Sophocles; Euripides; The Sophists, Plato, and Aristotle; References; Glossary; Index of Principal Passages; General Index.

First published in 1984, Cultural Analysis is a systematic examination of the theories of culture contained in the writings of four contemporary social theorists: Peter L. Berger, Mary Douglas, Michel Foucault, and Jürgen Habermas. This study of their work clarifies their contributions to the analysis of culture and shows the converging assumptions that the authors believe are laying the foundation for a new approach to the study of culture. The focus is specifically on culture, a concept that remains subject (...) to ambiguities of treatment, and concentrates on questions concerning the definition and content of culture, its construction, its relations with social conditions, and the manner in which it may be changing. The books demonstrates how these writers have made strides towards defining culture as an objective element of social interaction which can be subjected to critical investigation. (shrink)

The neo-logicist argues tliat standard mathematics can be derived by purely logical means from abstraction principles—such as Hume's Principle— which are held to lie 'epistcmically innocent'. We show that the second-order axiom of comprehension applied to non-instantiated properties and the standard first-order existential instantiation and universal elimination principles are essential for the derivation of key results, specifically a theorem of infinity, but have not been shown to be epistemically innocent. We conclude that the epistemic innocence of mathematics has not been (...) established by the neo-logicist. (shrink)

The dissertation is a detailed analysis of Berkeley's writings on mathematics, concentrating on the link between his attack on the theory of abstract ideas and his philosophy of mathematics. Although the focus is on Berkeley's works, I also trace the important connections between Berkeley's views and those of Isaac Barrow, John Wallis, John Keill, and Isaac Newton . The basic thesis I defend is that Berkeley's philosophy of mathematics is a natural extension of his views on abstraction. The first chapter (...) is devoted to a consideration of Berkeley's treatment of abstraction, including his arguments against the doctrine of abstract ideas and his own account of how the explanatory ideas traditionally assigned to abstract ideas can be filled by a non-abstractionist account of human knowledge. In chapter two I investigate the details of Berkeley's proposed new foundations for geometry, showing how his rejection of abstract ideas led him to a critique of the traditional conception of geometry . Of particular importance in this context is Berkeley's denial of infinite divisibility and his attempts to show that a satisfactory account of geometry does not require that geometric magnitudes be infinitely divisible. Chapter three is concerned with Berkeley's treatment of arithmetic and algebra. Here I argue that Berkeley's denial of the claim that arithmetic is the science of abstract ideas of number ultimately results in his advocacy of a strongly nominalistic conception of arithmetic which has strong similarities to modern fomalism. In chapter four I discuss Berkeley's famous critique of the calculus in The Analyst and other works, concluding that his criticism of the calculus is essentially correct, although his attempted explanation of the success of infinitesimal methods is unconvincing. (shrink)